Nucleon magnetic form factors with non-local chiral effective Lagrangian

TL;DR

This paper uses a non-local chiral effective Lagrangian approach to calculate nucleon magnetic form factors, including octet and decuplet states, resulting in convergent integrals and reasonable form factors at high momentum transfer.

Contribution

It introduces a non-local chiral Lagrangian framework that ensures convergence and accurately models nucleon magnetic form factors at larger Q^2.

Findings

Proton and neutron magnetic form factors are consistent with experimental data.

Loop integrals become convergent due to non-local interactions.

The method extends the applicability of chiral perturbation theory to higher Q^2.

Abstract

Chiral perturbation theory is a powerful method to investigate the hadron properties. We apply the non-local chiral effective Lagrangian to study nucleon magnetic form factors. The octet and decuplet intermediate states are included in the one loop calculation. With the modified propagators and non-local interactions, the loop integral is convergent. The obtained proton and neutron magnetic form factors are both reasonable up to relatively large $Q^2$.